Home
Class 11
PHYSICS
In a resonance tube with tuning fork of...

In a resonance tube with tuning fork of frequency `512 Hz`, first resonance occurs at water level equal to `30.3cm` and second resonance ocuurs at `63.7cm`. The maximum possible error in the speed of sound is

A

204.8 cm/s

B

51.2 cm/s

C

102.4 cm/s

D

153.6 cm/s

Text Solution

Verified by Experts

The correct Answer is:
A
For `1^(st)` resonance :
`l_1 +e =(lamda)/4`
Speed `(v) = f xx4(l_1 +e) `
`:. l_1 +e = (v)/(4f)" "...(i)`
For `2^(nd)` resonance :
`l_2 +e = (3lamda)/4`
`:. v = f xx4/3 (l_2+e)implies l_2 +e =(3v)/(4f)`
(ii) - (i) `implies l_2 -l_1 = (2v)/(4f) = (v)/(2f)`
`implies v=2f(l_2-l_1) implies Deltav= 2f(Deltal_2+Deltal_1)`
` = 2 xx 512(0.1 +0.1) = 204.8 cm//sec`
Promotional Banner

Similar Questions

Explore conceptually related problems

If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz , first resonance was observed at 30.7 cm and second was obtained at 63.2 cm , then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332m//s

If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332 m/s)

In a resonance tube, using a tuning fork of frequency 325 Hz , the first two resonance lengths are observed at 25.4 cm and 77.4 cm . The speed of sound in air is

In a resonance tube, the first resonance occurs at 16 cm and the second resonance occurs at 49 cm. The end corrections will be

A student performed the resonance tube experiment by using a tuning fork of frequency 512 Hz. He obtained the first and second resonances at 30.7 cm and 63.2 cm respectively . What was the error in the measurement of the velocity of sound, if the actual speed of sound at the temperature of the experiment was 330 m/s ?

In reasonace tube experiment with a tuning fork of frequency 480Hz the consecutive reasonance lengths are 30cm then determine speed of sound is

If a tuning fork of frequency (340 pm 1 %) is used in the resonance tube method and the first and second resonance lengths are 20.0cm and 74.0 cm respectively. Find the maximum possible percentage error in speed of sound.

(a) In a resonance column experiment, a tuning fork of frequency 400 Hz is used. The first resonant is observed when the air column has a length of 20.0 cm and the second resonance is observed when the air column has a length of 62.0 cm . (i) Find the speed of sound in air. (ii) How much distance above the open end does the pressure mode form? (b) A piston is fitted in a cylindrical tube of small crosssection with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz . The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm . Calculate the speed of sound in the air of the tube.